Possibilities for Shafarevich-Tate Groups of Modular ... - William Stein
Possibilities for Shafarevich-Tate Groups of Modular ... - William Stein
Possibilities for Shafarevich-Tate Groups of Modular ... - William Stein
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Polarized Abelian<br />
Varieties<br />
A polarization <strong>of</strong> A is an isogeny (homomorphism) from A<br />
to its dual that is induced by a divisor on A. A polarization<br />
<strong>of</strong> degree 1 is called a principal polarization.<br />
Theorem. If A is the Jacobian <strong>of</strong> a curve, then A is<br />
canonically principally polarized. For example, elliptic<br />
curves are principally polarized.
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